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Finding the Fourth Proportional to 654.93, 969.03 and 653.13

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Solution

The fourth proportional to 654.93, 969.03 and 653.13 is: 966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 969.03 = 653.13 : x
  2. Step 2: Convert to fraction form
    654.93/969.03 = 653.13/x
  3. Step 3: Cross multiply
    654.93x = 969.03 × 653.13
  4. Step 4: Simplify right side
    654.93x = 632,902.56
  5. Step 5: Solve for x
    x = 632,902.56/654.93
  6. Step 6: Final answer
    x = 966.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.